Asymptotic Analysis of the Radial Minimizers of an Energy Functional

Yutian Lei · Methods and Applications of Analysis · 2003

The author proves the W 1,p convergence of the radial minimizers uε = (u ε1 , u ε2 , u ε3 ) of an energy functional as ε → 0, and the zeros of u 2 ε1 + u 2 ε2 are located roughly.In addition, the estimates of the convergent rate of u 2 ε3 are presented.

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